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Simplifying -1[7x + -1(3x + 9)] = -4 + -1[(2x + -4) + -2x] Reorder the terms: -1[7x + -1(9 + 3x)] = -4 + -1[(2x + -4) + -2x] -1[7x + (9 * -1 + 3x * -1)] = -4 + -1[(2x + -4) + -2x] -1[7x + (-9 + -3x)] = -4 + -1[(2x + -4) + -2x] Reorder the terms: -1[-9 + 7x + -3x] = -4 + -1[(2x + -4) + -2x] Combine like terms: 7x + -3x = 4x -1[-9 + 4x] = -4 + -1[(2x + -4) + -2x] [-9 * -1 + 4x * -1] = -4 + -1[(2x + -4) + -2x] [9 + -4x] = -4 + -1[(2x + -4) + -2x] Reorder the terms: 9 + -4x = -4 + -1[(-4 + 2x) + -2x] Remove parenthesis around (-4 + 2x) 9 + -4x = -4 + -1[-4 + 2x + -2x] Combine like terms: 2x + -2x = 0 9 + -4x = -4 + -1[-4 + 0] 9 + -4x = -4 + -1[-4] Multiply -1 * -4 9 + -4x = -4 + 4 Combine like terms: -4 + 4 = 0 9 + -4x = 0 Solving 9 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25
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